105313111 has 2 divisors, whose sum is σ = 105313112. Its totient is φ = 105313110.

The previous prime is 105313081. The next prime is 105313129. The reversal of 105313111 is 111313501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105313111 - 2²⁵ = 71758679 is a prime.

It is a super-2 number, since 2×105313111² = 22181702696996642, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105313141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52656555 + 52656556.

It is an arithmetic number, because the mean of its divisors is an integer number (52656556).

Almost surely, 2^105313111 is an apocalyptic number.

105313111 is a deficient number, since it is larger than the sum of its proper divisors (1).

105313111 is an equidigital number, since it uses as much as digits as its factorization.

105313111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 105313111 is about 10262.2176453240. The cubic root of 105313111 is about 472.2378729535.

Adding to 105313111 its reverse (111313501), we get a palindrome (216626612).

The spelling of 105313111 in words is "one hundred five million, three hundred thirteen thousand, one hundred eleven".